M-strings in thermodynamic limit: Seiberg-Witten geometry

Understand

We initiate the study of M-strings in the thermodynamic limit.

• In this limit the BPS partition function of M5 branes localizes on configurations with a large number of strings which leads to a reformulation of the partition function in terms of a matrix model.
• We solve this matrix model and obtain its spectral curve which can be interpreted as the Seiberg-Witten curve associated to the compactified M5 brane theory.